First one:
number of packages of chocolate must be a multiple of 3 = 3x
number of packages of toffee must be a multiple of 5 = 5y
first clue: 5y = 3x +1 = no help!
second clue: 2/3 of 3x = 2x = number of packages of chocolate handed out
and 3/5 of 5y = number of toffee packages handed out = 3y
and they are equal so 2x = 3y
Again no help!
Together you have 2 equations in two unknowns and you can solve (answer 10 toffees and 9 chocolates)
Second one:
5 pieces of average length 124 means a total of 620 centimeters.
If the median is 140, 3 must be equal to or greater than 140.
To maximize the pieces less than 140, you have to have three equal to 140. That's 420 centimeters leaving 200 for the smaller pieces.
to find the largest possible smallest piece, divide by 2 = 100 centimeters (If one is 101, the other is 99 and becomes the smallest.)
Tani Wolff
